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The distance between a pair of spike trains, quantifying the differences between them, can be measured using various metrics. Here we introduce a new class of spike train metrics, inspired by the Pompeiu-Hausdorff distance, and compare them…

Information Theory · Computer Science 2014-01-20 Cătălin V. Rusu , Răzvan V. Florian

Subthreshold oscillations in neurons are those oscillations which do not attain the critical value of the membrane's voltage needed for triggering an action potential (a spike). Their contribution to the forming of action potentials in…

Dynamical Systems · Mathematics 2024-03-22 G. Moza , R. Efrem

Multimodal registration is a challenging problem in medical imaging due the high variability of tissue appearance under different imaging modalities. The crucial component here is the choice of the right similarity measure. We make a step…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Martin Simonovsky , Benjamín Gutiérrez-Becker , Diana Mateus , Nassir Navab , Nikos Komodakis

A brain--machine interface (BMI) based on motor imagery (MI) enables the control of devices using brain signals while the subject imagines performing a movement. It plays a vital role in prosthesis control and motor rehabilitation. To…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Xiaying Wang , Michael Hersche , Michele Magno , Luca Benini

This paper introduce a novel metric of an objective function f, we say VC (value change) to measure the difficulty and approximation affection when conducting an neural network approximation task, and it numerically supports characterizing…

Machine Learning · Computer Science 2025-08-29 Pengcheng Xie , Zihao Zhou , Zijian Zhou

Magnetoencephalography (MEG) recordings of patients with epilepsy exhibit spikes, a typical biomarker of the pathology. Detecting those spikes allows accurate localization of brain regions triggering seizures. Spike detection is often…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Pauline Mouches , Thibaut Dejean , Julien Jung , Romain Bouet , Carole Lartizien , Romain Quentin

In this work we analyze a convex-programming method for estimating superpositions of point sources or spikes from nonuniform samples of their convolution with a known kernel. We consider a one-dimensional model where the kernel is either a…

Optimization and Control · Mathematics 2018-06-04 Brett Bernstein , Carlos Fernandez-Granda

Random convolution kernel transform (Rocket) is a fast, efficient, and novel approach for time series feature extraction using a large number of independent randomly initialized 1-D convolution kernels of different configurations. The…

Machine Learning · Computer Science 2022-09-21 Hojjat Salehinejad , Yang Wang , Yuanhao Yu , Tang Jin , Shahrokh Valaee

Nuclear Magnetic Resonance (NMR) spectra are widely used in metabolomics to obtain profiles of metabolites dissolved in biofluids such as cell supernatants. Methods for estimating metabolite concentrations from these spectra are presently…

Methodology · Statistics 2012-05-16 William Astle , Maria De Iorio , Sylvia Richardson , David Stephens , Timothy Ebbels

Convolution neural network (CNN), as one of the most powerful and popular technologies, has achieved remarkable progress for image and video classification since its invention in 1989. However, with the high definition video-data explosion,…

Emerging Technologies · Computer Science 2021-08-04 Yue Jiang , Wenjia Zhang , Fan Yang , Zuyuan He

Hyperparameter tuning, such as learning rate decay and defining a stopping criterion, often relies on monitoring the validation loss. This paper presents NeVe, a dynamic training approach that adjusts the learning rate and defines the stop…

Machine Learning · Computer Science 2025-07-09 Gianluca Dalmasso , Andrea Bragagnolo , Enzo Tartaglione , Attilio Fiandrotti , Marco Grangetto

Rhythm patterns can be performed with a wide variation of tempi. This presents a challenge for many music information retrieval (MIR) systems; ideally, perceptually similar rhythms should be represented and processed similarly, regardless…

Sound · Computer Science 2018-05-01 Anders Elowsson

Synchronized brain rhythms, associated with diverse cognitive functions, have been observed in electrical recordings of brain activity. Neural synchronization may be well described by using the population-averaged global potential $V_G$ in…

Neurons and Cognition · Quantitative Biology 2014-03-07 Sang-Yoon Kim , Woochang Lim

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Single neuron models have a long tradition in computational neuroscience. Detailed biophysical models such as the Hodgkin-Huxley model as well as simplified neuron models such as the class of integrate-and-fire models relate the input…

Neurons and Cognition · Quantitative Biology 2016-11-02 Simone Carlo Surace , Jean-Pascal Pfister

Simultaneous behavioral and electrophysiological recordings call for new methods to reveal the interactions between neural activity and behavior. A milestone would be an interpretable model of the co-variability of spiking activity and…

Neurons and Cognition · Quantitative Biology 2023-12-04 Christos Sourmpis , Carl Petersen , Wulfram Gerstner , Guillaume Bellec

Controlling the spectral norm of the Jacobian matrix, which is related to the convolution operation, has been shown to improve generalization, training stability and robustness in CNNs. Existing methods for computing the norm either tend to…

Machine Learning · Computer Science 2024-09-19 Ekaterina Grishina , Mikhail Gorbunov , Maxim Rakhuba

We present an account of neuroplasticity with respect to cell-internal processing pathways in relation to membrane and synaptic plasticity. We think traditional synapse-centric, weight-based models of memorization are not sufficient or…

Neurons and Cognition · Quantitative Biology 2026-04-27 Gabriele Scheler

At the level of individual neurons, various coding properties can be inferred from the input-output relationship of a cell. For small inputs, this relation is captured by the phase-response curve (PRC), which measures the effect of a small…

Neurons and Cognition · Quantitative Biology 2026-01-14 Janina Hesse , Susanne Schreiber

Neural networks have received a lot of attention recently, and related security issues have come with it. Many studies have shown that neural networks are vulnerable to adversarial examples that have been artificially perturbed with…

Cryptography and Security · Computer Science 2025-08-07 Shi Pu , Fu Song , Wenjie Wang